We study the subconvexity problem for ${\mathrm{GL}}_3(\mathbb{R})$ L-functions in the t-aspect using integral representations by combining techniques employed by Michel–Venkatesh in their study of the corresponding problem for ${\mathrm{GL}}_2$ with ideas from recent works of Munshi, Holowinsky–Nelson and Lin. Our main objective is to give – from the perspective of integral representations of L-functions and automorphic representation theory – a possible explanation of the origin of the “key identity” arising in the latter series of works.

中文翻译：

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GL3(R) L-函数的次凸性：通过积分表示的密钥标识

我们研究亚凸问题 ${\mathrm{总帐}}_3(\mathbb{R})$ 通过结合 Michel–Venkatesh 在研究相应问题${\mathrm{总帐}}_2$来自 Munshi、Holowinsky-Nelson 和 Lin 最近作品的想法。我们的主要目标是——从L函数的积分表示和自守表示理论的角度——对后一系列作品中出现的“关键同一性”的起源给出一个可能的解释。